Question

A triangle has vertices, (-3,2), (0,5), and (4,2)
What are the vertices after translating the triangle 3 units right and 2 units down?

Answer 1

To translate a figure, we need to add or subtract the same amount from each of its coordinates.

In this case, we need to move the triangle 3 units to the right and 2 units down.

For the first vertex (-3, 2), we will add 3 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = -3 + 3 = 0
New y-coordinate = 2 - 2 = 0

So, the new coordinates of the first vertex are (0, 0).

For the second vertex (0, 5), we will add 3 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = 0 + 3 = 3
New y-coordinate = 5 - 2 = 3

So, the new coordinates of the second vertex are (3, 3).

For the third vertex (4, 2), we will add 3 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = 4 + 3 = 7
New y-coordinate = 2 - 2 = 0

So, the new coordinates of the third vertex are (7, 0).

Therefore, the vertices of the triangle after translating 3 units right and 2 units down are (0, 0), (3, 3), and (7, 0).